Write a boolean function in sum-of-products form for the following. F(X, Y, Z) is true when exactly one of the following is true: a) X is true b) Y is false and Z is true
Write a boolean function in sum-of-products form for the following. F(X, Y, Z) is true when exactly one of the following is true: a) X is true b) Y is false and Z is true
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
Write a boolean function in sum-of-products form for the following.
F(X, Y, Z) is true when exactly one of the following is true:
a) X is true
b) Y is false and Z is true
Expert Solution
Step 1
First creating truth table for given function:
The truth table for the circuit having given conditions is as follows:-
(T represents TRUE and F represents False)
a) X is true
b) Y is false and Z is true
| X | Y | Z | F(X,Y,Z) |
| T | T | T | T |
| T | T | F | T |
| T | F | T | T |
| T | F | F | T |
| F | T | T | F |
| F | T | F | F |
| F | F | T | T |
| F | F | F | F |
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